late 14c., "convey from one place to another," from Old French transporter "carry or convey across; overwhelm (emotionally)" (14c.) or directly from Latin transportare "carry over, take across, convey, remove," from trans "beyond, across" (see trans-) + portare "to carry" (from PIE root *per- (2) "to lead, pass over"). Sense of "carry away with strong feelings" is first recorded c. 1500. Meaning "to carry away into banishment" is recorded from 1660s.
mid-15c., originally "mental exaltation;" sense of "means of transportation, carriage, conveyance" is recorded from 1690s; from transport (v.).